Spatial shape-preserving interpolation using nu-splines

Karavelas, MI; Kaklis, PD

dc.contributor.author	Karavelas, MI	en
dc.contributor.author	Kaklis, PD	en
dc.date.accessioned	2014-03-01T01:15:53Z
dc.date.available	2014-03-01T01:15:53Z
dc.date.issued	2000	en
dc.identifier.issn	1017-1398	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13800
dc.subject	interpolation	en
dc.subject	shape-preserving	en
dc.subject	splines	en
dc.subject	nu-spline	en
dc.subject	space curves	en
dc.subject.classification	Mathematics, Applied	en
dc.title	Spatial shape-preserving interpolation using nu-splines	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1019156202082	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1019156202082	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	We present a global iterative algorithm for constructing spatial G(2)-continuous interpolating nu-splines, which preserve the shape of the polygonal line that interpolates the given points. Furthermore, the algorithm can handle data exhibiting two kinds of degeneracy, namely, coplanar quadruples and collinear triplets of points. The convergence of the algorithm stems from the asymptotic properties of the curvature, torsion and Frenet frame of nu-splines for large values of the tension parameters, which are thoroughly investigated and presented. The performance of our approach is tested on two data sets, one of synthetic nature and the other of industrial interest.	en
heal.publisher	BALTZER SCI PUBL BV	en
heal.journalName	NUMERICAL ALGORITHMS	en
dc.identifier.doi	10.1023/A:1019156202082	en
dc.identifier.isi	ISI:000087920500003	en
dc.identifier.volume	23	en
dc.identifier.issue	2-3	en
dc.identifier.spage	217	en
dc.identifier.epage	250	en